# Activities

• • • ##### Subject Area

• Math: Precalculus: Trigonometry (Triangle and Circular Functions)

• ##### Author 9-12

50 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• ##### Software

TI-Nspire™ CX
TI-Nspire™ CX CAS

5.0

## Basic Trigonometric Transformations

#### Activity Overview

This lesson involves manipulating sliders to change the values of parameters in trigonometric functions and determining the effect that each change has upon the shape of the graph.

#### Objectives

• Students will identity the amplitude, period, horizontal shift, and vertical shift in the equation and the effect that these parameters have upon the graph of the function.
• Students will discover that the horizontal shift of a sinusoidal function is determined by the quotient of two of the parameters of the function.
• Students will utilize their knowledge of the effect of the parameters of a sine function to rewrite its equation as an equation containing a cosine function.
• Students will write equations for sine and cosine functions by examining their parameters and looking at their graphs.

#### Vocabulary

• amplitude
• horizontal shift
• parameters
• period
• phase shift
• vertical shift